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Branched Standard Spines of 3-Manifolds

Branched Standard Spines of 3-Manifolds

Paperback

Series: Lecture Notes in Mathematics, Book 1653

General MathematicsGeometry

ISBN10: 3540626271
ISBN13: 9783540626275
Publisher: Springer Nature
Published: Mar 20 1997
Pages: 140
Weight: 0.48
Height: 0.32 Width: 6.14 Depth: 9.21
Language: English
This book provides a unified combinatorial realization of the categroies of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. In all four cases the objects of the realization are finite enhanced graphs, and only finitely many local moves have to be taken into account. These realizations are based on the notion of branched standard spine, introduced in the book as a combination of the notion of branched surface with that of standard spine. The book is intended for readers interested in low-dimensional topology, and some familiarity with the basics is assumed. A list of questions, some of which concerning relations with the theory of quantum invariants, is enclosed.

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General Mathematics